On grid paper, how many different rectangles can you draw with an area of 18 square units? Find the perimeter of all possible rectangles.
To find the different rectangles with an area of 18 square units on grid paper, we can list out the possible dimensions:
1 x 18
2 x 9
3 x 6
There are three different rectangles that can be created with an area of 18 square units.
To find the perimeter of each rectangle, we can use the formula P = 2(l + w), where P is the perimeter, l is the length, and w is the width.
1. For the 1 x 18 rectangle:
P = 2(1 + 18) = 40 units
2. For the 2 x 9 rectangle:
P = 2(2 + 9) = 22 units
3. For the 3 x 6 rectangle:
P = 2(3 + 6) = 18 units
Therefore, the perimeter of all possible rectangles with an area of 18 square units are 40 units, 22 units, and 18 units.